Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 86

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.90.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. DE R E COCN LFFON E
  2. Data media trium proportionalium es differentia inter extremas, invenire
  3. majorem extremam.
  4. EAto illa A. minor igitur eric A = B. ducarur major in minorem; sE A quad. -
  5. in A, aequale Z quad. Id aurem ipsum cA quod ordinatur.
  6. FO - 10 Naequacur F4 4. est V 14 4 media inter extremas differentes per 10. Cx fit L N Major E
  7. trema ex serierrium proporiionalium 8. 12. 18.
  8. PH E OR E M A TTT.
  9. A N PTBOAOT.
  10. SF B in A = A quad. XquetUE Z. quad: SUNEEeS propOrtionales, quarum
  11. media estZ, aGBTETALUII EXCTCIAEUI B; _CAE A MIHOF, MinOErC Cx.
  12. tema.
  13. Ex Zeterico:
  14. Data mediarrium proportionatium ex aegrezato extremarum; invenire al
  15. terutram extremam.
  16. Sic enim data Z. Media, AGOTEGATUM VETO ExErEMarUM B: OpOrTeE invenire mino
  17. reM exTremam. F. so illa A. major isitur erir B = A. quare B in A, = A quad. a qua
  18. Dieur Z quadeaco.
  19. SEdAE A MajOE EXTTCAEUI; CriE B = A; MInOE ExTREAEUM. IEaquE FUTUS B in
  20. A, = A quad. aquabitur Z quad. Vndc A sive de MInOTC exTTEMarUM, Cve de Ma
  21. jore poresteminciari.
  22. 26N - 1 O aequerur r + 4. est a L4 4 media inter extremas quarum agereearum est 26. ex fit 1H.
  23. minor, majorve extrema ex serieerium proporrionalium 8. 12. 18.
  24. A
  25. RUTCUS ex Z ecericis.
  26. C A P V Y IV
  27. Constitura equationum cubicarum: ac primum earum in
  28. quibus affectiones existunt sub latere.
  29. Suationum quo que cubicarum aftectionibus sub latere obrolurarum
  30. constirurio ex L erericis, sciru diena est. quo pertinent tria quxe le quun
  31. tur Theoremata.
  32. T H B OR E M A I.
  33. RAT A BA YTRHS.
  34. xA cubus t. B quad. HL A, XquCtUE B quad. in Z: CuNEquatuOF Concin
  35. ProPOraleS, GlatuI prima maiorminorre inter exEremas eA B, 20
  36. oregatum vero secundae ex quartae est Z, _ sic A sccunda.
  37. Lx Lecerico.
  38. Data prima, es aggrecato secunda es quarta in serie quatuor cont u oyo
  39. tionalium, invenire secundam.
  40. Eso secunda A, quarra L.=a. Sollao autem lub primae quadrato
  41. quarta, aequatur cubus c secunda: quum sicur quadrarum primae ad quadearum secu
  42. da. ira lecunda ad quarram. leaque A cubus, aequabitur B quad. in Z, = B quad.
  43. A; ee per ancichesin, A cubus F B quad. in A, aequabitur B quad. in Z. WE ett o
  44. dinacuIH.
  45. ter extremat est V 64. id est 8. axgreearum vero secunda es quarta = 8 id est 39. ex fis L N. secti
  46. da ex serieproporcionalium 8. 12. 18. 27.
  47. eoa LCtCCCO:
  48. Si + C. + 64 N. aquetur 2496. Sune quaruor continue proporcionales, quarum prima minor i

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 86. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0102?run=74